3 Linear Relationships 1B

A Collection of Tasks for Learning or Assessment LR

1. I can determine and explain the slope of any line (including vertical and horizontal lines) when given any of the following: data points, a line on a graph, a table, an equation, and real world data. I can explain slope as a constant rate of change in real world problems and as a proportion using similar figures.
   interactive websites
   Lines and slopeFinding slopeSlope formula
   Inquiry Lessons/ worksheets
   
   

   Alg+5.0+BeginRates+of+Change.doc.dot
   

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   • 83 KB
   

   Alg+5.1+Slope.doc.dot
   

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   • 76 KB
   

   Alg 5.2b ReasoningLinear Equations.doc
   

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   • 49 KB
2. I can explain slope as a constant rate of change in real world problems and as a proportion using similar figures. Inquiry Lessons/ worksheets
   

   Alg 5.1b Tables, Graphs, stories, equations.doc
   

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   • 49 KB
   

   Alg 5.1c Rate of Change.doc
   

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   • 69 KB
   

   Alg 5.1d Slope from data tables.doc
   

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   • 74 KB
3. I can identify the x- and y-intercepts from an equation, graph, or table of values. I can explain the x- and y-intercept of a graph in a real world situation.
4. I understand and can explain linear relationship stories using graphs, tables, or equations. I can make connections among graphs, tables, and equations.
5. I can graph linear equations and inequalities by plotting points, finding x- and y-intercepts, given the slope and any point on the line, and given an equation in slope-intercept form.
6. I can determine how changes in the slope or y-intercept will affect an equation and a graph.> Slope and y-intercept slider Alg+5.2+Zoom+linear+Equations.doc.dot
7. Write the equation of a line given a graph, two points, or the slope and a point on the line in slope-intercept form and standard form. I can write equations for horizontal and vertical lines.
   web sites:Finding linear equationsPoint-slope and slope-intercept formulas
8. I can distinguish between linear and nonlinear functions by examining data, a table, an equation, or a graph. I can generalize a linear pattern using slope.
9. I can write algebraic expressions or equations to generalize visual patterns, numerical patterns, relations, data sets, or scatter plots.
10. I can collect, record, organize, and display a set of data with two variables. I can determine whether the relationship between two variables is linear or nonlinear by examining a scatter plot. I can characterize the relationship between two variables as having positive, negative, or zero correlation.
11. I can estimate the equation a line of best fit through a set of data and use this equation to make predictions. I can explain what the slope and y-intercept tell me about the real world data.